Answer
See graph.
Work Step by Step
We graph:
$f(x)=\left\{\begin{array}{l}
x^{3}+3~~~~~~~~~~\mathrm{i}\mathrm{f}~~-2\leq x\leq 0\\
x+3~~~~~~~~~~~~\mathrm{i}\mathrm{f}~~0\lt x\lt 1\\
4+x-x^{2}~~~\mathrm{i}\mathrm{f}~~1\leq x\leq 3
\end{array}\right. $